Problem: Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm:

  * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). 
  * Digits are written one by one in order corresponding to number and separated by single '0' character. 



Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number.

Input

The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s.

The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'.

Output

Print the decoded number.

Examples

Input

3
111


Output

3


Input

9
110011101


Output

2031

Solution (in PYTHON3):

Solution:
import os
import sys
from io import BytesIO, IOBase

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
##########################################################
# from collections import Counter
# from fractions import Fraction
# s=iter(input())
# for _ in range(int(input())):
# from collections import Counter
from itertools import permutations as pmt
#from decimal import Decimal
from collections import Counter
# n=int(input())
# arr=list(map(int,input().split()))
# ls=list(map(int,input().split()))
# for i in range(m):
# for i in range(int(input())):
# arr = list(map(int, input().split()))
# for  i in range(int(input())):
# for  _ in range(int(input())):
# n, k = map(int, input().split())
#for _ in range(int(input())):
#l.sort(key = lambda x: x[1])

#t=input()
#C=Counter(s)
#for i in range()
n=int(input())
s=input()
if s=="0":
    print(0)
    exit()
ans=[]
cnt=0
z=0
for i in range(n):
    if s[i]=="1":
        cnt+=1
        if z>0:
            ans.append("0"*(z-1))
            z=0
    else:
        z+=1
        if cnt>=1:
            ans.append(str(cnt))
            cnt=0
    if i==n-1:
        if z>0:
            ans.append("0"*z)
        elif cnt>0:
            ans.append(str(cnt))

print("".join(ans))